Number of terms in maximization step for computing viterbi and posterior decoding?











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I've been reading about viterbi and posterior decoding. And I understand that viterbi decoding is looking for an overall most likely explanation of the observed sequence:



enter image description here



whereas posterior tells us about the most likely state in some n-th step:



enter image description here



What I fail to understand is how many terms are there in the maximization for computing the viterbi decoding z^*. Are these k^2*N? And how many terms are there in the maximization for computing z_n^* i.e. the n-th state in a posterior decoding.










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    up vote
    0
    down vote

    favorite












    I've been reading about viterbi and posterior decoding. And I understand that viterbi decoding is looking for an overall most likely explanation of the observed sequence:



    enter image description here



    whereas posterior tells us about the most likely state in some n-th step:



    enter image description here



    What I fail to understand is how many terms are there in the maximization for computing the viterbi decoding z^*. Are these k^2*N? And how many terms are there in the maximization for computing z_n^* i.e. the n-th state in a posterior decoding.










    share|improve this question
























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I've been reading about viterbi and posterior decoding. And I understand that viterbi decoding is looking for an overall most likely explanation of the observed sequence:



      enter image description here



      whereas posterior tells us about the most likely state in some n-th step:



      enter image description here



      What I fail to understand is how many terms are there in the maximization for computing the viterbi decoding z^*. Are these k^2*N? And how many terms are there in the maximization for computing z_n^* i.e. the n-th state in a posterior decoding.










      share|improve this question













      I've been reading about viterbi and posterior decoding. And I understand that viterbi decoding is looking for an overall most likely explanation of the observed sequence:



      enter image description here



      whereas posterior tells us about the most likely state in some n-th step:



      enter image description here



      What I fail to understand is how many terms are there in the maximization for computing the viterbi decoding z^*. Are these k^2*N? And how many terms are there in the maximization for computing z_n^* i.e. the n-th state in a posterior decoding.







      viterbi






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      share|improve this question










      asked Nov 10 at 23:24









      Shafa Haider

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